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Finding the Third Proportional to 399 and 582.63

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Solution

The third proportional to 399 and 582.63 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399 : 582.63 = 582.63 : x
  2. Step 2: Convert to fraction form
    399/582.63 = 582.63/x
  3. Step 3: Cross multiply
    399x = 582.63 × 582.63
  4. Step 4: Simplify right side
    399x = 339,451.89
  5. Step 5: Solve for x
    x = 339,451.89/399
  6. Step 6: Final answer
    x = 850.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.